check with the airline, generally they charge $75 to $100 extra each way for a bike box. another option is to UPS or FedEx ground it out, just see if the place you are staying will accept it. You can also ship it to a bike shop but they generally want to put it together for you and charge you somewhere in the neighborhood of $50 to receive and do that. I would suggest if you do fly it or ship, buy or borrow a hard case. A used bike box from your LBS can do the trick but Ive also seen damage issues with that. If you ship it, make sure you take it to an actual UPS place, not a UPSStore, they are a franchise and mark of the shipping big time. FedExKinkos is a good option though, they dont seem to rape you. depending on insurance amount you are probably looking at $50 to $75 to do that each way. As you can see for a 5 day trip its about a wash renting vs plane, a little cheaper shipping but more of a hassle. but I would double check on that $35/day rate, seems pretty low for a nice dualy
best of luck and have a great time!